(Contact information including office hours is on Instructor's website)
Class: MWF 14:00-14:50 STAG 212. On some dates announced on
class website the class will meet in MLC Computer Lab Kidd 108C where
to work on individual and group projects.
Prerequisites: Solid skills in real variables, linear algebra
and differential equations are the prerequisites. Some experience
with partial differential equations (PDEs) is recommended. Prior
computing experience is not required but students will be expected to
grow in their computational and theoretical abilities.
This class is the second one in a
year-long sequence MTH 654-656 but classes in this sequence can be
(Please contact the Instructor with questions.)
Course Learning Outcomes: A successful student will be able to
- Introduction to FEM in 1D and for linear second order elliptic
PDEs in 2D and 3D: the theory will include variational formulation of
boundary value problems, and error analysis.
- Algorithms and implementation aspects of FEM. The students will
be provided templates and/or encouraged to work with state-of-the-art
FE libraries, individually and/or in groups.
- Intermediate topics in FE chosen from: time-dependent, nonlinear,
eigenvalue, mixed formulations, and other than classical Galerkin
methods will be also discussed.
- Propose an appropriate FE formulation for solving model
- Assess the accuracy of FE solutions using theoretical and
- Use available public domain tools and/or implement own
algorithms and/or participate in group projects to solve a FE problem
in which more than two of the following are non-elementary: the domain
with complicated geometry, the highly varying coefficients, or
structure (nonlinear and/or mixed)
A. Ern, J.-L. Guermond,
"Theory and Practice of Finite Elements", Springer 2004, is recommended (but not required).
C. Johnson, Numerical Solution of Partial Differential Equations by the Finite Element Method, is a very useful very inexpensive not so introductory text, also on applications.
K. Atkinson, W. Han, "Theoretical Numerical Analysis. A Functional Analysis Framework"> Theoretical Numerical Analysis , Third Edition. Springer, 2010, is for those wanting even more math.
Many more theoretical and practical FE books are
available. If you want more information about books or class,
We will also use other notes and materials that will be distributed in class.
Grading: Grade will be based on the total score from Homework
and Projects. Students will be graded on their ability to progress and
will be expected to communicate their progress in group and individual
projects via journal entries. The platform for submitting Homework and
Project journals will be selected and announced by the end of first
week of classes.
Special arrangements for students with disabilities: please contact the instructor and Services for Students with
Disabilities prior to or during the first week of the term to discuss
accommodations. Students who believe they are eligible for
accommodations but who have not yet obtained approval through DAS
should contact DAS immediately at 737-4098.
Course drop/add information is at
Student Conduct: All students are expected to obey to OSU's student
conduct regulations, see
OSU's Statement of Expectations for Student Conduct
at this link
and specifically the information about Academic or Scholarly
Dishonesty beginning on p.2. In particular, please consult the
definitions of (A) CHEATING, (C) ASSISTING, and (E) PLAGIARISM, as
well as recommended handling.